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Finding the Third Proportional to 819,769.50 and 1,802,232

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Solution

The third proportional to 819,769.50 and 1,802,232 is: 3,962,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,769.50 : 1,802,232 = 1,802,232 : x
  2. Step 2: Convert to fraction form
    819,769.50/1,802,232 = 1,802,232/x
  3. Step 3: Cross multiply
    819,769.50x = 1,802,232 × 1,802,232
  4. Step 4: Simplify right side
    819,769.50x = 3,248,040,181,824
  5. Step 5: Solve for x
    x = 3,248,040,181,824/819,769.50
  6. Step 6: Final answer
    x = 3,962,138.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.